3D Mathematics Fundamentals, Graphics, and Game Development

Author: FLETCHER
Publisher:
Publish Date: Not available
Features: This book primarily explores the mathematical problems behind the 3D geometric world. 3D mathematics is a discipline related to computational geometry, which studies how to solve geometric problems using numerical methods. 3D mathematics and computational geometry are widely applied in fields that use computers to simulate 3D worlds, such as graphics, gaming, simulation, robotics, virtual reality, and animation. This book covers both theoretical knowledge and C++ implementation code. The theoretical section explains the relationship between mathematics and geometry in 3D, and the listed techniques and formulas can serve as a reference manual for easy lookup. The implementation section demonstrates how to implement these theoretical concepts using code. The programming examples are written in C++, but in reality, the theoretical knowledge in this book can be implemented using any programming language. This book mainly introduces basic 3D mathematical concepts, which are particularly important for computer game developers and programmers. The author thoroughly discusses the mathematical theory and provides geometric explanations when necessary to help readers develop an intuitive understanding of 3D. The book also provides C++ classes for applying theory to practice and offers exercises at the end of each chapter.
Book Content:
· Introduces fundamental concepts such as vectors, coordinate spaces, matrices, transformations, Euler angles, homogeneous coordinate spaces, geometric primitives, intersection detection, and triangular meshes.
· Discusses orientation in 3D, including quaternions and comparisons of the pros and cons of different representation techniques.
· Describes practical examples of the application of mathematics and geometry, providing C++ classes and various matrix classes, each of which accomplishes specific geometric tasks.
· The complete derivation of all basic transformation matrices.